Prime p₀= 976025672933291327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	976023449599360483	0 18 34 48 84 96 136 150 154 168 208 220 256 270 286 304	-2223333930844
STPT(10)	976023530502635939	0 2 18 20 30 32 42 44 60 62	-2142430655388
TPT(14)	976023693662020427	0 2 12 14 72 74 90 92 114 116 132 134 180 182	-1979271270900
STPT(10)	976024227887278391	0 2 6 8 48 50 90 92 96 98	-1445046012936
STPT(10)	976024293767682041	0 2 36 38 78 80 120 122 156 158	-1379165609286
SPT(16)	976024709485060747	0 12 36 46 142 150 172 180 196 204 226 234 330 340 364 376	-963448230580
STPT(10)	976025910894887351	0 2 36 38 78 80 120 122 156 158	237961596024
SPT(16)	976025973175790777	0 32 86 92 102 114 140 162 164 186 212 224 234 240 294 326	300242499450
STPT(10)	976026063486959669	0 2 30 32 60 62 90 92 120 122	390553668342
SPT(16)	976026817195478533	0 34 58 90 114 130 144 154 174 184 198 214 238 270 294 328	1144262187206
STPT(10)	976027071244503527	0 2 12 14 42 44 72 74 84 86	1398311212200